76821504 has 88 divisors (see below), whose sum is σ = 216949248. Its totient is φ = 24084480.

The previous prime is 76821499. The next prime is 76821523. The reversal of 76821504 is 40512867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51489 + ... + 52959.

Almost surely, 2^76821504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108474624).

76821504 is an abundant number, since it is smaller than the sum of its proper divisors (140127744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76821504 is a wasteful number, since it uses less digits than its factorization.

76821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 76821504 is about 8764.7877327406. The cubic root of 76821504 is about 425.1030965574.

The spelling of 76821504 in words is "seventy-six million, eight hundred twenty-one thousand, five hundred four".